Near-horizon geometries and black hole thermodynamics in higher-derivative AdS$_5$ supergravity

Fuente: arXiv
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Autores principales: Cano, Pablo A., David, Marina
Formato: Preprint
Publicado: 2024
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author Cano, Pablo A.
David, Marina
author_facet Cano, Pablo A.
David, Marina
contents Higher-derivative corrections in the AdS/CFT correspondence allow us to capture finer details of the dual CFT and to explore the holographic dictionary beyond the infinite N and strong coupling limits. Following an effective field theory approach, we investigate extremal AdS black hole solutions in five-dimensional supergravity with higher-derivative corrections. We provide a general analysis of near-horizon geometries of rotating extremal black holes and show how to obtain their corresponding charges and chemical potentials. We discuss the near-horizon solutions of the two-derivative theory, which we write using a novel parametrization that eases our computation of the higher-derivative corrections. The charges and thermodynamic properties of the black hole are computed while clarifying the ambiguities in their definitions. The charges and potentials turn out to satisfy a near-horizon version of the first law of thermodynamics whose interpretation we make clear. In the supersymmetric case, the results are shown to match the field theory prediction as well as previous results obtained from the on-shell action.
format Preprint
id arxiv_https___arxiv_org_abs_2402_02215
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Near-horizon geometries and black hole thermodynamics in higher-derivative AdS$_5$ supergravity
Cano, Pablo A.
David, Marina
High Energy Physics - Theory
Higher-derivative corrections in the AdS/CFT correspondence allow us to capture finer details of the dual CFT and to explore the holographic dictionary beyond the infinite N and strong coupling limits. Following an effective field theory approach, we investigate extremal AdS black hole solutions in five-dimensional supergravity with higher-derivative corrections. We provide a general analysis of near-horizon geometries of rotating extremal black holes and show how to obtain their corresponding charges and chemical potentials. We discuss the near-horizon solutions of the two-derivative theory, which we write using a novel parametrization that eases our computation of the higher-derivative corrections. The charges and thermodynamic properties of the black hole are computed while clarifying the ambiguities in their definitions. The charges and potentials turn out to satisfy a near-horizon version of the first law of thermodynamics whose interpretation we make clear. In the supersymmetric case, the results are shown to match the field theory prediction as well as previous results obtained from the on-shell action.
title Near-horizon geometries and black hole thermodynamics in higher-derivative AdS$_5$ supergravity
topic High Energy Physics - Theory
url https://arxiv.org/abs/2402.02215